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Finding the Third Proportional to 269,444 and 586,192

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Solution

The third proportional to 269,444 and 586,192 is: 1,275,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,444 : 586,192 = 586,192 : x
  2. Step 2: Convert to fraction form
    269,444/586,192 = 586,192/x
  3. Step 3: Cross multiply
    269,444x = 586,192 × 586,192
  4. Step 4: Simplify right side
    269,444x = 343,621,060,864
  5. Step 5: Solve for x
    x = 343,621,060,864/269,444
  6. Step 6: Final answer
    x = 1,275,296.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.